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Finding the Fourth Proportional to 286,924, 430,455.12 and 89,932

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Solution

The fourth proportional to 286,924, 430,455.12 and 89,932 is: 134,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,924 : 430,455.12 = 89,932 : x
  2. Step 2: Convert to fraction form
    286,924/430,455.12 = 89,932/x
  3. Step 3: Cross multiply
    286,924x = 430,455.12 × 89,932
  4. Step 4: Simplify right side
    286,924x = 38,711,689,851.84
  5. Step 5: Solve for x
    x = 38,711,689,851.84/286,924
  6. Step 6: Final answer
    x = 134,919.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.